The radius of the core and the inner radius of the outer conductor of a very long transmission line are r and r respectively. The space between the conductors is filled with two coaxial layers of dielectrics. The dielectric constants of the dielectrics are ɛ, for r

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The radius of the core and the inner radius of the outer conductor of
a very long transmission line arer and r respectively. The space
between the conductors is filled with two coaxial layers of dielectrics.
The dielectric constants of the dielectrics are ɛ, for r <r<b and
E, for b<r<r. A charge +Q exists on the outside surface of the inner
conductor and – Q exists on the inside surface of the outer conductor. The
charge is uniformely distributed such that += 2ar Lp where p is the
surface charge density having units of coulombs/m2.
1) Determine D for r, <r<r,.
2) Determine E for r <r<b and b<r<r_
3) Determine the voltage drop from r to r.
4) Determine the capacitance.
Gr.
Er FOR b <ts r,
Transcribed Image Text:The radius of the core and the inner radius of the outer conductor of a very long transmission line arer and r respectively. The space between the conductors is filled with two coaxial layers of dielectrics. The dielectric constants of the dielectrics are ɛ, for r <r<b and E, for b<r<r. A charge +Q exists on the outside surface of the inner conductor and – Q exists on the inside surface of the outer conductor. The charge is uniformely distributed such that += 2ar Lp where p is the surface charge density having units of coulombs/m2. 1) Determine D for r, <r<r,. 2) Determine E for r <r<b and b<r<r_ 3) Determine the voltage drop from r to r. 4) Determine the capacitance. Gr. Er FOR b <ts r,
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